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Finding the Fourth Proportional to 21,842.10, 32,763.39 and 11,976.03

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Solution

The fourth proportional to 21,842.10, 32,763.39 and 11,976.03 is: 17,964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.10 : 32,763.39 = 11,976.03 : x
  2. Step 2: Convert to fraction form
    21,842.10/32,763.39 = 11,976.03/x
  3. Step 3: Cross multiply
    21,842.10x = 32,763.39 × 11,976.03
  4. Step 4: Simplify right side
    21,842.10x = 392,375,341.54
  5. Step 5: Solve for x
    x = 392,375,341.54/21,842.10
  6. Step 6: Final answer
    x = 17,964.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.